// Numbas version: exam_results_page_options
{"name": "MATLAB - creating variables and expression basics", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "MATLAB - creating variables and expression basics", "tags": [], "metadata": {"description": "Part of the tutorial to introduse students to MATLAB programming.<br>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<h1>MATLAB: creating variables and expression basics</h1>\n<p>In MATLAB, you can create variables (names for the values) like this: <code>x = 6</code>.<br/>Now the variable can be used in calculations, for example, <code>y = sin(x)</code>.<br/><br/>This is how you write some basic maths in MATLAB.</p>\n<p>Note the parenthesis around function arguments in MATLAB &ndash;&nbsp;you can't skip them.<br/><br/><strong>Task:</strong><br/>Create three variables \\(a = \\var{a}\\), \\(b = \\var{b}\\), \\(c = \\var{c}\\) and calculate the result of the following expressions using MATLAB.</p>\n<table style=\"width: 486px; height: 187px; float: left;\" height=\"187\">\n<tbody>\n<tr>\n<td style=\"width: 373.917px;\"><strong>Mathematical expression</strong></td>\n<td style=\"width: 107.083px;\"><strong>MATLAB</strong></td>\n</tr>\n<tr>\n<td style=\"width: 373.917px;\">\\(a\\cdot b\\)</td>\n<td style=\"width: 107.083px;\"><code>a*b</code></td>\n</tr>\n<tr>\n<td style=\"width: 373.917px;\">\\(\\frac{a}{b}\\)</td>\n<td style=\"width: 107.083px;\"><code>a/b</code></td>\n</tr>\n<tr>\n<td style=\"width: 373.917px;\">\\(a^b\\)</td>\n<td style=\"width: 107.083px;\"><code>a^b</code></td>\n</tr>\n<tr>\n<td style=\"width: 373.917px;\">\\(e^a\\)&nbsp; (\\(e\\) here is Euler number)</td>\n<td style=\"width: 107.083px;\"><code>exp(a)</code></td>\n</tr>\n<tr>\n<td style=\"width: 373.917px;\">\\(\\sin a\\)</td>\n<td style=\"width: 107.083px;\"><code>sin(a)</code></td>\n</tr>\n<tr>\n<td style=\"width: 373.917px;\">\\(\\ln a = \\log_e a\\) (Natural logarithm)</td>\n<td style=\"width: 107.083px;\"><code>log(a)</code></td>\n</tr>\n</tbody>\n</table>", "advice": "", "rulesets": {}, "extensions": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(-9..9 except 0)", "description": "", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(1..90)", "description": "", "templateType": "anything"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "random(1..4)", "description": "", "templateType": "anything"}, "sin_bec": {"name": "sin_bec", "group": "Ungrouped variables", "definition": "sin(a) + b*exp(c)", "description": "", "templateType": "anything"}, "tol": {"name": "tol", "group": "Ungrouped variables", "definition": "0.01", "description": "", "templateType": "anything"}, "frac": {"name": "frac", "group": "Ungrouped variables", "definition": "(a+b)/c", "description": "", "templateType": "anything"}, "frac_cos": {"name": "frac_cos", "group": "Ungrouped variables", "definition": "(a + cos(b))/c", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "c", "sin_bec", "tol", "frac", "frac_cos"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>\\(d = \\frac{a + b}{c}=\\)</p>", "minValue": "frac-tol", "maxValue": "frac+tol", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>\\(d = \\frac{a + cos(b)}{c}=\\)</p>", "minValue": "frac_cos-tol", "maxValue": "frac_cos+tol", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>\\(d = \\sin a + b e^c=\\)</p>", "minValue": "sin_bec-tol", "maxValue": "sin_bec+tol", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Timur Zaripov", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3272/"}]}]}], "contributors": [{"name": "Timur Zaripov", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3272/"}]}